When an average force F is exerted over a certain

Chapter 3, Problem 65

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When an average force F is exerted over a certain distanceon a shopping cart of mass m, its kinetic energyincreases by 12mv2.(a) Use the workenergy theorem to show that the distanceover which the force acts is mv2/2F.(b) If twice the force is exerted over twice the distance,how does the resulting increase in kinetic energy comparewith the original increase in kinetic energy?

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